<i>XY</i>model in small-world networks
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsPublished 30 October 2001Open access
Beom Jun Kim, Hyunsuk Hong, Petter Holme, Gun Sang Jeon, Petter Minnhagen, M. Y. Choi
Citations118
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TL;DR
It is found that long-range order is present at finite temperatures, even for very small values of the rewiring probability, suggesting a finite-temperature transition for any nonzero rewires probability.
Abstract
The phase transition in the XY model on one-dimensional small-world networks is investigated by means of Monte Carlo simulations. It is found that long-range order is present at finite temperatures, even for very small values of the rewiring probability, suggesting a finite-temperature transition for any nonzero rewiring probability. Nature of the phase transition is discussed in comparison with the globally coupled XY model.
Keywords
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